801016417413 has 40 divisors (see below), whose sum is σ = 1267111917720. Its totient is φ = 502541107200.

The previous prime is 801016417387. The next prime is 801016417429. The reversal of 801016417413 is 314714610108.

801016417413 is a `hidden beast` number, since 8 + 0 + 1 + 0 + 1 + 641 + 7 + 4 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89588271969 + 711428145444 = 299313^2 + 843462^2 .

It is not a de Polignac number, because 801016417413 - 2²⁴ = 800999640197 is a prime.

It is a super-2 number, since 2×801016417413² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801016417493) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14250063 + ... + 14306163.

It is an arithmetic number, because the mean of its divisors is an integer number (31677797943).

Almost surely, 2^801016417413 is an apocalyptic number.

It is an amenable number.

801016417413 is a deficient number, since it is larger than the sum of its proper divisors (466095500307).

801016417413 is a wasteful number, since it uses less digits than its factorization.

801016417413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66499 (or 66490 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 801016417413 in words is "eight hundred one billion, sixteen million, four hundred seventeen thousand, four hundred thirteen".